因此，可获得局部解的存在性。
证明了极限环和周期解的存在性。
证明了方程组解的存在性和唯一性。
We prove the existence and uniqueness of the solution of the system.
利用分支理论分析了非平凡周期解的存在性。
Further, the existence of a nontrivial periodic solution is considered by using bifurcation theory.
讨论双退化抛物型方程解的存在性和唯一性。
The existence and uniqueness of double degenerate parabolic equation are considered.
本文讨论渐近线性强迫波方程周期解的存在性。
In this paper we discuss the existence of solution of an asymptotically linear wave equation.
通过构造适当的上下解，证明行波解的存在性。
By constructing proper upper-lower solutions, the existence of travelling wave solutions was proved.
文中讨论了一类非双曲内部动态有界解的存在性。
The bounded solutions of non hyperbolic internal dynamics are discussed.
本文研究脉冲微分方程的解的存在性与定性性质。
This paper studies the existence for solutions and qualitative properties of impulsive differential equations.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
这些结果能被用来研究椭圆边值问题径向对称解的存在性。
These results can be applied to study the existence of the radial solutions for the elliptic boundary value problems.
本文利用拓扑度理论研究三阶微分系统反周期解的存在性。
Using topological degree the existence of anti-periodic solutions for third order differential systems is studied.
本文主要讨论了差分方程的概周期解与伪概周期解的存在性。
In this paper, we investigate the existence of almost periodic solutions and pseudo almost periodic solutions for difference equations.
研究抽象空间微分方程周期解的存在性一直是比较困难的问题。
It is a difficult problem studying the existence of periodic solutions of differential equation in abstract Spaces.
在半空间上讨论了一类退缩抛物型方程组解的存在性与爆破性质。
The existence and blow-up of a class degenerate parabolic systems in semi-space is considered.
这些结果能用来研究椭圆型方程组边值问题径向对称解的存在性。
These results can be applied to the study of the existence of the radial solutions for the elliptic boundary value systems.
在适当的假设下得到了该方程无穷多个径向与非径向解的存在性。
Under suitable hypotheses obtain the existence of infinitely many radial solutions and non-radial solutions.
首先运用能量估计方法得到了热平衡态解的存在性与半经典极限结果。
First the existence of the thermal equilibrium solutions and the semiclassical limit results are obtained through the energy estimating method.
这是首次研究差分方程的双向渐近解的存在性并获得了满意的研究成果。
This is the first time to discuss homoclinic solutions for difference equations, some satisfactory results are obtained.
本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性。
In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems.
一股的方程我们已经能够解决相关的概周期函数类型解的存在性和唯一性。
We have solved the existence and the uniqueness of almost periodic type solutions of ordinary equations.
本文研究了半线性波动方程在非线性项和初值满足一定条件下解的存在性。
This paper studies the existence of solution for a semilinear wave equation under the nonlinear term and initial value satisfying certain conditions.
并在广义凸性和广义单调性的条件下，给出了隐向量均衡问题的解的存在性。
In addition, under the generalized convexity and generalized monotonicity, solution existence for implicit vector equilibrium problems is investigated.
本文第三章讨论的是如下非局部边界条件的反应扩散系统解的存在性和唯一性。
In the chapter there of this paper, we consider the uniqueness and the existence of solutions of the following reaction diffusion system with nonlocal boundary conditions.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
讨论了四阶边值问题，通过应用一个新的三解定理，得到了其解的存在性与多重性。
By using a new three-solution theorem, we obtain the existence and multiplicity of positive solutions for fourth-order boundary value problem.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
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